i. Time Shifting

ii. Differentiation in Time Domain

Mumbai University > Information Technology > Sem 3 > Principles of analog and digital communication

Marks:- 5M

Year:- Dec 2015

1. Time shifting:

• The time shifting property states that if x(t) and X(f) form a Fourier transform pair then,

x (t-$t_d$) F ↔$e^{-j2πf{t_d}} $ X (f)

Here the signal x(t- $t_d$ ) is a time shifted signal. It is the same signal x(t) only shifted in time.

• Proof:

F[x (t-$t_d$)] = …